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1 year ago

a normal distribution has mean 62 and a standard deviation 20. find and interpret the z-score for x=46

Mathematics

1 answer:

icang [17]1 year ago

5 0

The z - score of the normal deviation will be 0.8.

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

A normal distribution has the mean = 62

Standard deviation = 20

Since, The formula for the z - score will be;

z = (x - μ) / σ

Where, σ is the standard deviation and μ is the mean of normal distribution.

Substitute all the values in above equation, we get;

z = (x - μ) / σ

z = (46 - 62) / 20

z = - 16 / 20

z = - 0.8

Therefore,

The z - score of the normal deviation will be 0.8.

Learn more about the standard deviation visit:

brainly.com/question/475676

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You roll two dice. What is the probability that the average of the high and low roll is exactly 3, to four decimal places?

Sladkaya [172]

Answer:

0.1111

Step-by-step explanation:

Given that you roll two dice.

the average of the high and low roll is exactly 3,

Since die can show only 1 to 6 we can say average can be 3 in each of the following case.

(1,5) (2,4) (3,3) (4,2) (5,1)

There cannot be any other combination to get average of 3.

Thus favourable events = 4

Sample space will have

(1,1)...(1,6)

(2,1)....

(6,1)...(6,6) i.e. 36

So probability that the average of the high and low roll is exactly 3

= $\frac{4}{36} \\=0.1111$

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3 years ago

What is the sum of the areas of circle C and circle D?

Morgarella [4.7K]

Assuming that the center of each circle is at point C and D, then both have a radius of 7cm. We know that the formula for solving area of the circle is A=pi*r².
Then we solve area of once circle multiplied by two to get the total area of the given circles. The solution is shown below:
C1 area=3.1416*7²
C1 area=153.9384 cm²
Summation of the area of circle C and D is shown below:
Sum area=2*153.9384
Sum area=307.8768cm²

The answer is 98pi.

4 0

3 years ago

Read 2 more answers

In a certain urban are, the relationship between , number of students ,x, in thousands, and the number schools, y, has an x-inte

chubhunter [2.5K]

Answer:

-12 = 3x - 4y

Step-by-step explanation:

Two points on the graph are (-4, 0) and (0, 3). Moving from the first point to the second, we see x (the 'run') increase by 4 and y (the 'rise') increase by 3. Thus, the slope of this line is m = rise / run = 3/4.

Using the point slope form, we get:

y - 3 = (3/4)(x - 0), or

4y - 12 = 3x, or

-12 = 3x - 4y (which is in Standard Form).

6 0

3 years ago

Samantha puts an initial $500 into a savings account. The account has a 4% annual compound interest rate. What is the function t

Licemer1 [7]

I use a bit of a different looking formula.

A(t)=P(1+r/n)^nt

P=amount of money. (500)
r= rate (in decimal. 4%=0.04)
n=number of times per year (1 in this problem)
t=amount of time. (5 years)

Plugged in it looks like this:

A(t)=500 (1+ 0.04/1)^1x5

Then I put it into my calculator like this:

0.04/1+ 0.04

Then add one to the above answer:

0.04+1=1.04

Then raise the above answer to the 1x5:

1.04^5=1.2166......

Then multiply the above answer by 500:

1.2166.... x 500=608.3264512

She has $608 after 5 years.

Hope this helps, let me know if you have any questions.

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3 years ago

A truck travels beneath an airplane that is moving 160 km/h at an angle of 54.0 ◦ to the ground. How fast must the truck travel

Maksim231197 [3]

Answer:

2. 94.0 km/h

Step-by-step explanation:

since the airplane is moving at angle of 54° from the ground, the horizontal component of the velocity is given by cos component

speed of air plane= 160 km/hr

horizontal component of velocity v= 160 cos 54°

= 94.045 km/hr

Thus the truck must travel at an speed of 94.0 Km/hr hence second option is correct.

6 0

3 years ago